Magdalena Musat

 


Associate Professor
Department of Mathematical Sciences
University of Copenhagen
Universitetsparken 5
2100 Copenhagen Ø
Denmark

Phone: (45) 35320745
Office: 04.2.05
Email: musat@math.ku.dk

Education

Ph.D. 2002, University of Illinois at Urbana-Champaign. Thesis advisors: Donald Burkholder and Marius Junge.
M.S. 1997, University of Illinois at Urbana-Champaign.
Diploma in Mathematics 1993, University of Bucharest.

My main mathematical interests are in the fields of von Neumann algebras and operator spaces, as well as applications to noncommutative probability, with a focus on noncommutative Lp-spaces and inequalities for noncommutative martingales. I have also carried out research in classical potential theory.

My work has been supported by NSF Grant DMS 0703869.

Von Neumann algebras and group actions: Master Class (January 25-29, 2010) and Workshop (February 1-5, 2010) at the University of Copenhagen. Organizers: Uffe Haagerup and Magdalena Musat.

Curriculum Vitae (pdf)

Publications

  • Factorization and dilation problems for completely positive maps on von Neumann algebras (with Uffe Haagerup), Comm. Math. Phys., 303 (2011), 555-594.
  • Classification of hyperfinite factors up to completely bounded isomorphism of their preduals (with Uffe Haagerup), J. Reine Angew. Math., 630 (2009), 141-176.
  • The Effros-Ruan conjecture for bilinear maps on C*-algebras (with Uffe Haagerup), Invent. Math., 174 (2008), no. 1, 139-163.
  • On the best constants in noncommutative Khintchine-type inequalities (with Uffe Haagerup), J. Funct. Anal. 250 (2007), 588-624.
  • A noncommutative version of the John-Nirenberg theorem (with Marius Junge), Trans. Amer. Math. Soc., 359 (2007), no.1, 115-142.
  • On the operator space UMD property for noncommutative Lp-spaces, Indiana Univ. Math. J. 55 (2006), no. 6, 1857-1892.
  • The condenser problem (with Jürgen Bliedtner), Potential Anal. 21 (2004), 177-192.
  • Interpolation between non-commutative BMO and non-commutative Lp-spaces, J. Funct. Anal. 202 (2003), 195-225.
  • On the operator space UMD property and non-commutative martingale inequalities, Ph. D. Thesis (2002), University of Illinois at Urbana-Champaign (pdf).
  • The Analytic Radon-Nikodym property in Banach spaces, Diploma Thesis (1993), University of Bucharest.
  • On strong Darboux property, Stud. Cerc. Mat., Tome 44, 4 (1992), 305-307.

Preprints and papers in preparation

  • An asymptotic property of factorizable completely positive maps and the Connes embedding problem, (with Uffe Haagerup),  in preparation.
  • Finite dimensional approximations of hyperfinite martingales, in preparation.
  • Notes on noncommutative Lp-spaces (the tracial case) (with Bruce Driver), Preprint, 2005.

Ph. D. Students

  • Tim de Laat (2013, expected), Joint supervision with Uffe Haagerup.

Masters Students

  • Kristian K. Olesen (2012, November, expected), M. S. Thesis: Sofic groups and the Connes embedding problem.

Masters Projects

  • Isak Wulff Mottelson (2012, January), M. S. Research project: Introduction to non-commutative probability (pdf).

Bachelor Students

  • Anna Munk Ebbesen (2012, June, expected), B. S. Thesis: Choquet theory and applications.
  • Frederik Riis Mikkelsen (2012, June, expected), B. S. Thesis: .
  • Marcus Dorph De Chiffre (2011, June), B. S. Thesis: Haar Measure (pdf).
  • Julie Pedersen (2010, July), B. S. Thesis: The Little Grothendieck Inequality - From Classical to Non-Commutative (pdf).
  • May Louise Wetke Nielsen (2009, May), B. S. Thesis (at University of Southern Denmark): Haar Measure.

Seminar on Sofic Groups

Current teaching

  • Fall 2011/Winter 2012 (Block 2)
                 Measure and Integration Theory
  • Fall 2011 (Block 1)
                     Functional Analysis
  • Fall 2010/Winter 2011 (Block 2)
                     Measure and Integration Theory (Joint with Ernst Hansen)
  • Fall 2010 (Block 1)
                 Approximation Properties for Operator Algebras and Groups (Joint with Uffe Haagerup)
  • Spring 2010 (Block 3)
                     Banach Spaces
  • Fall 2009 (Block 1)
                     AS 100 (Large Deviations)

Previous Teaching

  • University of Southern Denmark, Odense

    Spring 2009 (Third Quarter)
                     MM 506 (Introduction to Probability, I)

    Fall 2008 (Second Quarter)
                 MM 83 (Convex Analysis)

    Fall 2008 (First Quarter)
                     MM 517 (Measure Theory)
                 MM 83 (Convex Analysis)

    Spring 2007
                     MM 506 (Introduction to Probability, I)
                 MM 513 (Introduction to Probability, II)

  • University of Memphis

    Spring 2008
                    Differential Equations (Math 3120, Enrollment: 20 students)
                Foundations of Mathematics (Math 1420, Enrollment: 65 students)

    Fall 2007
                    Differential Equations (Math 3120, Enrollment: 12 students)
                Foundations of Mathematics (Math 1420, Enrollment: 48 students)
     
    Fall 2006
                    Differential Equations (Math 3120, Enrollment: 23 students)
                Foundations of Mathematics (Math 1420, Enrollment: 70 students)
     
    Fall 2005
                    Linear Algebra (Math 3242, Enrollment: 24 students)
                Business Calculus (Math 1830, Enrollment: 75 students)
     
  • University of California, San Diego

    Spring Quarter 2005
                    Introduction to Probability, III (Math 180C, Enrollment: 12 students)
                Differential Equations (Math 20D, Enrollment: 202 students)

    Winter Quarter 2005
                    Introduction to Probability, II (Math 180B, Enrollment: 30 students)
                Introduction to Probability, I (Math180A, Enrollment: 48 students)
     
    Fall Quarter 2004
                   Vector Calculus (Math 20E,  Enrollment: 179 students)
               Linear Algebra (Math 20F, Enrollment: 202 students)

    Summer Session 2004
                  Calculus of Several Variables (Math 10C)
              Calculus of One Variable (Math 20B)

    Spring Quarter 2004
                  Applied Complex Analysis (Math 120B, Enrollment: 27 students)
              Linear Algebra (Math 20F, Enrollment: 144 students)

    Winter Quarter 2004
                  Complex Analysis (Math 120A, Enrollment: 38 students)

    Fall Quarter 2003
                  Calculus of One Variable (Math 20B, Enrollment: 205 students)
              Calculus of One Variable (Math 20A, Enrollment: 170 students)

    Spring Quarter 2003
                 Calculus of One Variable (Math 10B, Enrollment: 126 students)

    Winter Quarter 2003
                 Calculus of Several Variables (Math 10C, Enrollment: 146 students)
             Calculus of One Variable (Math 10B, Enrollment: 156 students)

    Fall Quarter 2002
                 Calculus of One Variable (Math 10B, Enrollment: 161 students)

  • University of Illinois at Urbana-Champaign

    Spring 2001
                Calculus of Several Variables (Math 242)

    Spring 1999
            Linear Algebra (Math 225)

    Fall 1997
                Calculus of Several Variables (Math 242)

    Spring 1996
                Calculus of Several Variables (Math 242)

    Fall 1995
                Calculus of One Variable (Math 130)